{"slug":"hunter-third-sieve","identifier":"hunter-third-sieve","title":"Third Sieve","author":"Maclain Hunter","sourceSha256":"e9c49d04dce083e6344d94be888ebd52fa77cc1ec9067e4287adb9dfccfa2e72","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:43:52.012Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:42:38.031Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P <-> Q, Q <-> R} |= R -> (Q <-> P)","sourceOffset":225,"scope":"Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.","variables":["P","Q","R"],"premises":["P <-> Q","Q <-> R"],"conclusion":"R -> (Q <-> P)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!((v0 == v1) && (v1 == v2))) || ((!v2) || (v1 == v0))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"}],"files":{"source.json":{"sha256":"7c41f9e5792078f72b57efe1fb7e940b3b5098159b506b4f4cbd7cc9f37fa760","bytes":847},"Proof.lean":{"sha256":"5360477cb231010a4a70f14a8bd84b6ad66b08bb000216f229b6ee49248eb66a","bytes":451},"lean-check.txt":{"sha256":"283a8aa40f54008e4bfc528069537344fae9f76a8d2f62b37f48d942b98ba62c","bytes":115}},"boundary":"Lean establishes the listed formal statements and dependencies. 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